Search a number
-
+
434144442303 = 331113112443523
BaseRepresentation
bin1100101000101010000…
…01100111011110111111
31112111121021100202102000
412110111001213132333
524103111434123203
6531235422033343
743236334605015
oct6242501473677
91474537322360
10434144442303
11158135246260
1270182118853
1331c2a529160
1417026c008b5
15b45e2ca4a3
hex65150677bf

434144442303 has 32 divisors (see below), whose sum is σ = 755620481280. Its totient is φ = 242878007520.

The previous prime is 434144442289. The next prime is 434144442323. The reversal of 434144442303 is 303244441434.

434144442303 is a `hidden beast` number, since 4 + 3 + 414 + 4 + 4 + 4 + 230 + 3 = 666.

It is not a de Polignac number, because 434144442303 - 28 = 434144442047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434144442323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56217901 + ... + 56225622.

It is an arithmetic number, because the mean of its divisors is an integer number (23613140040).

Almost surely, 2434144442303 is an apocalyptic number.

434144442303 is a deficient number, since it is larger than the sum of its proper divisors (321476038977).

434144442303 is a wasteful number, since it uses less digits than its factorization.

434144442303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112443556 (or 112443550 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 434144442303 its reverse (303244441434), we get a palindrome (737388883737).

The spelling of 434144442303 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred forty-two thousand, three hundred three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 112443523 337330569 1011991707 1236878753 1461765799 3035975121 3710636259 4385297397 11131908777 13155892191 16079423789 33395726331 39467676573 48238271367 144714814101 434144442303